Explanation Given information: Two trigonometric expression is given as sin 7 π 12 and cos 7 π 12 . Concepts used: Addition formula, 1. ) sin ( A + B ) = sin A cos B + cos A sin B 2. ) cos ( A + B ) = cos A cos B − sin A sin B Calculation: Let us first calculate the value of sin 7 π 12 . sin 7 π 12 = sin ( π 3 + π 4 ) ⇒ sin 7 π 12 = sin π 3 cos π 4 + cos π 3 sin π 4 { Using sin ( A + B ) = sin A cos B + cos A sin B } ⇒ sin 7 π 12 = 3 2 × 1 2 + 1 2 × 1 2 ⇒ sin 7 π 12 = 3 2 2 + 1 2 2 ⇒ sin 7 π 12 = 3 + 1 2 2 ⇒ sin 7 π 12 = 2 ( 3 + 1 ) 2 2 ×

4th Edition

ISBN: 9781319055905

Author: FRANZOSA

Publisher: VST

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Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.

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Chapter 1.4, Problem 33E

To determine

The value of sin7π12 and cos7π12.

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Chapter 1.4, Problem 32E

Chapter 1.4, Problem 34E

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Chapter 1 Solutions

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The value of sin 7 π 12 and cos 7 π 12 .

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The value of sin7π12 and cos7π12.

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Chapter 1 Solutions